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3 years ago

What is the domain of the given function?

Mathematics

2 answers:

Sonja [21]3 years ago

5 0

Answer: Choice A) {-4, -1, 3, 5, 6}

The domain of a relation is the set of possible x inputs. All we do is list the x coordinates of the given points. The order doesn't matter but your book has decided to list the x values from smallest to largest.

Side note: the list of possible output y values is known as the range.

-BARSIC- [3]3 years ago

5 0

Answer:it’s answer A, or {x | x = –4, –1, 3, 5, 6}.

Step-by-step explanation:

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2. Find the general relation of the equation cos3A+cos5A=0

mars1129 [50]

<h2>Answer:</h2>

$A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi$

<h2>Step-by-step explanation:</h2>

<h3>Find angles</h3>

$cos3A+cos5A=0$

________________________________________________________

<h3>Transform the expression using the sum-to-product formula</h3>

$2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0$

________________________________________________________

<h3>Combine like terms</h3>

$2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0$

________________________________________________________

<h3>Divide both sides of the equation by the coefficient of variable</h3>

$cos(\frac{8A}{2})cos(\frac{-2A}{2})=0$

________________________________________________________

<h3>Apply zero product property that at least one factor is zero</h3>

$cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0$

________________________________________________________

<h3>Cross out the common factor</h3>

$cos\ 4A=0$

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<h3>Solve the trigonometric equation to find a particular solution</h3>

$4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}$

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<h3>Solve the trigonometric equation to find a general solution</h3>

$4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}$

________________________________________________________

<h3>Reduce the fraction</h3>

$cos(-A)=0$

________________________________________________________

<h3>Simplify the expression using the symmetry of trigonometric function</h3>

$cosA=0$

________________________________________________________

<h3>Solve the trigonometric equation to find a particular solution</h3>

$A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}$

________________________________________________________

<h3>Solve the trigonometric equation to find a general solution</h3>

$A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z$

________________________________________________________

<h3>Find the union of solution sets</h3>

$A=\frac{\pi}{2}+n\pi$

________________________________________________________

<h3>Find the union of solution sets</h3>

$A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z$

<em>I hope this helps you</em>

5 0

2 years ago

Susan’s ribbon is 3.8 metres long. What is the length of her ribbon in millimetres?

Elanso [62]

3800 mm

Hope it helps you...

Thank you!!

3 0

3 years ago

Read 2 more answers

A dart hits the board. What is the probability

Elena L [17]

Answer: The probability is 0.5

Step-by-step explanation:

The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)

The total area of the figure is equal to

Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2

Now, the area of region II is:

Region II = 20'*35' = 700

Then the probability is:

P = 700/1400 = 1/2 = 0.5

3 0

3 years ago

Will give brainliest please help ASAP

Snezhnost [94]

Answer:

Step-by-step explanation:

y>-3x+1 Negative slope

y<u><</u>x+2 Positive slope

< or > have dotted line

<u><</u> or <u>></u> have a solid line

> or <u>></u> means solutions are above the line

< or <u><</u> means solutions are below the line

The one with negative slope has a dotted line and solutions above it.

The one with positive slope has a solid line and solutions below it.

7 0

4 years ago

Plz help mee

Semmy [17]

The answer to this is D

5 0

3 years ago